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Finding the Fourth Proportional to 3,534.47, 5,303.52 and 1,456.01

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Solution

The fourth proportional to 3,534.47, 5,303.52 and 1,456.01 is: 2,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.47 : 5,303.52 = 1,456.01 : x
  2. Step 2: Convert to fraction form
    3,534.47/5,303.52 = 1,456.01/x
  3. Step 3: Cross multiply
    3,534.47x = 5,303.52 × 1,456.01
  4. Step 4: Simplify right side
    3,534.47x = 7,721,951.64
  5. Step 5: Solve for x
    x = 7,721,951.64/3,534.47
  6. Step 6: Final answer
    x = 2,184.76

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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.