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Finding the Fourth Proportional to 3,658.84, 5,491.52 and 1,712.16

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Solution

The fourth proportional to 3,658.84, 5,491.52 and 1,712.16 is: 2,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.84 : 5,491.52 = 1,712.16 : x
  2. Step 2: Convert to fraction form
    3,658.84/5,491.52 = 1,712.16/x
  3. Step 3: Cross multiply
    3,658.84x = 5,491.52 × 1,712.16
  4. Step 4: Simplify right side
    3,658.84x = 9,402,360.88
  5. Step 5: Solve for x
    x = 9,402,360.88/3,658.84
  6. Step 6: Final answer
    x = 2,569.77

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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.