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Finding the Fourth Proportional to 3,038.76, 4,559.76 and 1,307.28

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Solution

The fourth proportional to 3,038.76, 4,559.76 and 1,307.28 is: 1,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.76 : 4,559.76 = 1,307.28 : x
  2. Step 2: Convert to fraction form
    3,038.76/4,559.76 = 1,307.28/x
  3. Step 3: Cross multiply
    3,038.76x = 4,559.76 × 1,307.28
  4. Step 4: Simplify right side
    3,038.76x = 5,960,883.05
  5. Step 5: Solve for x
    x = 5,960,883.05/3,038.76
  6. Step 6: Final answer
    x = 1,961.62

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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.