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Finding the Fourth Proportional to 4,669.86, 6,444.40 and 2,574

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Solution

The fourth proportional to 4,669.86, 6,444.40 and 2,574 is: 3,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.86 : 6,444.40 = 2,574 : x
  2. Step 2: Convert to fraction form
    4,669.86/6,444.40 = 2,574/x
  3. Step 3: Cross multiply
    4,669.86x = 6,444.40 × 2,574
  4. Step 4: Simplify right side
    4,669.86x = 16,587,885.60
  5. Step 5: Solve for x
    x = 16,587,885.60/4,669.86
  6. Step 6: Final answer
    x = 3,552.12

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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.