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Finding the Fourth Proportional to 4,897.52, 7,347.36 and 1,434.56

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Solution

The fourth proportional to 4,897.52, 7,347.36 and 1,434.56 is: 2,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.52 : 7,347.36 = 1,434.56 : x
  2. Step 2: Convert to fraction form
    4,897.52/7,347.36 = 1,434.56/x
  3. Step 3: Cross multiply
    4,897.52x = 7,347.36 × 1,434.56
  4. Step 4: Simplify right side
    4,897.52x = 10,540,228.76
  5. Step 5: Solve for x
    x = 10,540,228.76/4,897.52
  6. Step 6: Final answer
    x = 2,152.16

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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.