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Finding the Fourth Proportional to 4,397.69, 6,068.25 and 2,509.16

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Solution

The fourth proportional to 4,397.69, 6,068.25 and 2,509.16 is: 3,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.69 : 6,068.25 = 2,509.16 : x
  2. Step 2: Convert to fraction form
    4,397.69/6,068.25 = 2,509.16/x
  3. Step 3: Cross multiply
    4,397.69x = 6,068.25 × 2,509.16
  4. Step 4: Simplify right side
    4,397.69x = 15,226,225.34
  5. Step 5: Solve for x
    x = 15,226,225.34/4,397.69
  6. Step 6: Final answer
    x = 3,462.32

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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.