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Finding the Fourth Proportional to 4,856.34, 7,283.16 and 1,345.53

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Solution

The fourth proportional to 4,856.34, 7,283.16 and 1,345.53 is: 2,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.34 : 7,283.16 = 1,345.53 : x
  2. Step 2: Convert to fraction form
    4,856.34/7,283.16 = 1,345.53/x
  3. Step 3: Cross multiply
    4,856.34x = 7,283.16 × 1,345.53
  4. Step 4: Simplify right side
    4,856.34x = 9,799,710.27
  5. Step 5: Solve for x
    x = 9,799,710.27/4,856.34
  6. Step 6: Final answer
    x = 2,017.92

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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.