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Finding the Fourth Proportional to 5,853.86, 8,077.53 and 3,495.50

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Solution

The fourth proportional to 5,853.86, 8,077.53 and 3,495.50 is: 4,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.86 : 8,077.53 = 3,495.50 : x
  2. Step 2: Convert to fraction form
    5,853.86/8,077.53 = 3,495.50/x
  3. Step 3: Cross multiply
    5,853.86x = 8,077.53 × 3,495.50
  4. Step 4: Simplify right side
    5,853.86x = 28,235,006.12
  5. Step 5: Solve for x
    x = 28,235,006.12/5,853.86
  6. Step 6: Final answer
    x = 4,823.31

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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.