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Finding the Fourth Proportional to 5,342.04, 8,008.02 and 2,417.40

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Solution

The fourth proportional to 5,342.04, 8,008.02 and 2,417.40 is: 3,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.04 : 8,008.02 = 2,417.40 : x
  2. Step 2: Convert to fraction form
    5,342.04/8,008.02 = 2,417.40/x
  3. Step 3: Cross multiply
    5,342.04x = 8,008.02 × 2,417.40
  4. Step 4: Simplify right side
    5,342.04x = 19,358,587.55
  5. Step 5: Solve for x
    x = 19,358,587.55/5,342.04
  6. Step 6: Final answer
    x = 3,623.82

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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.