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Finding the Fourth Proportional to 4,459.95, 6,154.23 and 2,470

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Solution

The fourth proportional to 4,459.95, 6,154.23 and 2,470 is: 3,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.95 : 6,154.23 = 2,470 : x
  2. Step 2: Convert to fraction form
    4,459.95/6,154.23 = 2,470/x
  3. Step 3: Cross multiply
    4,459.95x = 6,154.23 × 2,470
  4. Step 4: Simplify right side
    4,459.95x = 15,200,935.75
  5. Step 5: Solve for x
    x = 15,200,935.75/4,459.95
  6. Step 6: Final answer
    x = 3,408.32

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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.