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Finding the Fourth Proportional to 5,774.34, 7,951.80 and 5,017.77

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Solution

The fourth proportional to 5,774.34, 7,951.80 and 5,017.77 is: 6,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.34 : 7,951.80 = 5,017.77 : x
  2. Step 2: Convert to fraction form
    5,774.34/7,951.80 = 5,017.77/x
  3. Step 3: Cross multiply
    5,774.34x = 7,951.80 × 5,017.77
  4. Step 4: Simplify right side
    5,774.34x = 39,900,303.49
  5. Step 5: Solve for x
    x = 39,900,303.49/5,774.34
  6. Step 6: Final answer
    x = 6,909.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.