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Finding the Fourth Proportional to 3,698.16, 5,547.28 and 2,398.96

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Solution

The fourth proportional to 3,698.16, 5,547.28 and 2,398.96 is: 3,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.16 : 5,547.28 = 2,398.96 : x
  2. Step 2: Convert to fraction form
    3,698.16/5,547.28 = 2,398.96/x
  3. Step 3: Cross multiply
    3,698.16x = 5,547.28 × 2,398.96
  4. Step 4: Simplify right side
    3,698.16x = 13,307,702.83
  5. Step 5: Solve for x
    x = 13,307,702.83/3,698.16
  6. Step 6: Final answer
    x = 3,598.47

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