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Finding the Fourth Proportional to 4,646.30, 6,970.66 and 2,565.95

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Solution

The fourth proportional to 4,646.30, 6,970.66 and 2,565.95 is: 3,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.30 : 6,970.66 = 2,565.95 : x
  2. Step 2: Convert to fraction form
    4,646.30/6,970.66 = 2,565.95/x
  3. Step 3: Cross multiply
    4,646.30x = 6,970.66 × 2,565.95
  4. Step 4: Simplify right side
    4,646.30x = 17,886,323.76
  5. Step 5: Solve for x
    x = 17,886,323.76/4,646.30
  6. Step 6: Final answer
    x = 3,849.59

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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.