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Finding the Fourth Proportional to 4,752.30, 6,561.24 and 4,254.06

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Solution

The fourth proportional to 4,752.30, 6,561.24 and 4,254.06 is: 5,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.30 : 6,561.24 = 4,254.06 : x
  2. Step 2: Convert to fraction form
    4,752.30/6,561.24 = 4,254.06/x
  3. Step 3: Cross multiply
    4,752.30x = 6,561.24 × 4,254.06
  4. Step 4: Simplify right side
    4,752.30x = 27,911,908.63
  5. Step 5: Solve for x
    x = 27,911,908.63/4,752.30
  6. Step 6: Final answer
    x = 5,873.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.