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Finding the Fourth Proportional to 4,706.90, 7,060.36 and 1,420.00

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Solution

The fourth proportional to 4,706.90, 7,060.36 and 1,420.00 is: 2,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.90 : 7,060.36 = 1,420.00 : x
  2. Step 2: Convert to fraction form
    4,706.90/7,060.36 = 1,420.00/x
  3. Step 3: Cross multiply
    4,706.90x = 7,060.36 × 1,420.00
  4. Step 4: Simplify right side
    4,706.90x = 10,025,693.55
  5. Step 5: Solve for x
    x = 10,025,693.55/4,706.90
  6. Step 6: Final answer
    x = 2,130.00

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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.