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Finding the Fourth Proportional to 5,054.70, 7,582.02 and 1,306.47

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Solution

The fourth proportional to 5,054.70, 7,582.02 and 1,306.47 is: 1,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.70 : 7,582.02 = 1,306.47 : x
  2. Step 2: Convert to fraction form
    5,054.70/7,582.02 = 1,306.47/x
  3. Step 3: Cross multiply
    5,054.70x = 7,582.02 × 1,306.47
  4. Step 4: Simplify right side
    5,054.70x = 9,905,681.67
  5. Step 5: Solve for x
    x = 9,905,681.67/5,054.70
  6. Step 6: Final answer
    x = 1,959.70

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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.