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Finding the Fourth Proportional to 4,709.40, 7,064.10 and 1,787.70

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Solution

The fourth proportional to 4,709.40, 7,064.10 and 1,787.70 is: 2,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.40 : 7,064.10 = 1,787.70 : x
  2. Step 2: Convert to fraction form
    4,709.40/7,064.10 = 1,787.70/x
  3. Step 3: Cross multiply
    4,709.40x = 7,064.10 × 1,787.70
  4. Step 4: Simplify right side
    4,709.40x = 12,628,482.63
  5. Step 5: Solve for x
    x = 12,628,482.63/4,709.40
  6. Step 6: Final answer
    x = 2,681.55

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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.