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Finding the Fourth Proportional to 4,851.90, 7,278.05 and 1,565.02

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Solution

The fourth proportional to 4,851.90, 7,278.05 and 1,565.02 is: 2,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.90 : 7,278.05 = 1,565.02 : x
  2. Step 2: Convert to fraction form
    4,851.90/7,278.05 = 1,565.02/x
  3. Step 3: Cross multiply
    4,851.90x = 7,278.05 × 1,565.02
  4. Step 4: Simplify right side
    4,851.90x = 11,390,306.82
  5. Step 5: Solve for x
    x = 11,390,306.82/4,851.90
  6. Step 6: Final answer
    x = 2,347.60

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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.