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Finding the Fourth Proportional to 4,892.84, 7,339.26 and 2,430.72

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Solution

The fourth proportional to 4,892.84, 7,339.26 and 2,430.72 is: 3,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.84 : 7,339.26 = 2,430.72 : x
  2. Step 2: Convert to fraction form
    4,892.84/7,339.26 = 2,430.72/x
  3. Step 3: Cross multiply
    4,892.84x = 7,339.26 × 2,430.72
  4. Step 4: Simplify right side
    4,892.84x = 17,839,686.07
  5. Step 5: Solve for x
    x = 17,839,686.07/4,892.84
  6. Step 6: Final answer
    x = 3,646.08

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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.