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Finding the Fourth Proportional to 4,972.76, 7,459.30 and 1,510

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Solution

The fourth proportional to 4,972.76, 7,459.30 and 1,510 is: 2,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.76 : 7,459.30 = 1,510 : x
  2. Step 2: Convert to fraction form
    4,972.76/7,459.30 = 1,510/x
  3. Step 3: Cross multiply
    4,972.76x = 7,459.30 × 1,510
  4. Step 4: Simplify right side
    4,972.76x = 11,263,543
  5. Step 5: Solve for x
    x = 11,263,543/4,972.76
  6. Step 6: Final answer
    x = 2,265.05

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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.