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Finding the Fourth Proportional to 3,364.16, 5,045.28 and 1,416

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Solution

The fourth proportional to 3,364.16, 5,045.28 and 1,416 is: 2,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.16 : 5,045.28 = 1,416 : x
  2. Step 2: Convert to fraction form
    3,364.16/5,045.28 = 1,416/x
  3. Step 3: Cross multiply
    3,364.16x = 5,045.28 × 1,416
  4. Step 4: Simplify right side
    3,364.16x = 7,144,116.48
  5. Step 5: Solve for x
    x = 7,144,116.48/3,364.16
  6. Step 6: Final answer
    x = 2,123.60

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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.