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Finding the Fourth Proportional to 5,565.78, 8,357.04 and 5,298.28

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Solution

The fourth proportional to 5,565.78, 8,357.04 and 5,298.28 is: 7,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.78 : 8,357.04 = 5,298.28 : x
  2. Step 2: Convert to fraction form
    5,565.78/8,357.04 = 5,298.28/x
  3. Step 3: Cross multiply
    5,565.78x = 8,357.04 × 5,298.28
  4. Step 4: Simplify right side
    5,565.78x = 44,277,937.89
  5. Step 5: Solve for x
    x = 44,277,937.89/5,565.78
  6. Step 6: Final answer
    x = 7,955.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.