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Finding the Fourth Proportional to 4,466.64, 6,705.12 and 1,871.28

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Solution

The fourth proportional to 4,466.64, 6,705.12 and 1,871.28 is: 2,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.64 : 6,705.12 = 1,871.28 : x
  2. Step 2: Convert to fraction form
    4,466.64/6,705.12 = 1,871.28/x
  3. Step 3: Cross multiply
    4,466.64x = 6,705.12 × 1,871.28
  4. Step 4: Simplify right side
    4,466.64x = 12,547,156.95
  5. Step 5: Solve for x
    x = 12,547,156.95/4,466.64
  6. Step 6: Final answer
    x = 2,809.08

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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.