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Finding the Fourth Proportional to 4,053.30, 6,079.93 and 975.30

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Solution

The fourth proportional to 4,053.30, 6,079.93 and 975.30 is: 1,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.30 : 6,079.93 = 975.30 : x
  2. Step 2: Convert to fraction form
    4,053.30/6,079.93 = 975.30/x
  3. Step 3: Cross multiply
    4,053.30x = 6,079.93 × 975.30
  4. Step 4: Simplify right side
    4,053.30x = 5,929,758.17
  5. Step 5: Solve for x
    x = 5,929,758.17/4,053.30
  6. Step 6: Final answer
    x = 1,462.95

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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.