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Finding the Fourth Proportional to 4,507.88, 6,762.06 and 1,430.12

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Solution

The fourth proportional to 4,507.88, 6,762.06 and 1,430.12 is: 2,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.88 : 6,762.06 = 1,430.12 : x
  2. Step 2: Convert to fraction form
    4,507.88/6,762.06 = 1,430.12/x
  3. Step 3: Cross multiply
    4,507.88x = 6,762.06 × 1,430.12
  4. Step 4: Simplify right side
    4,507.88x = 9,670,557.25
  5. Step 5: Solve for x
    x = 9,670,557.25/4,507.88
  6. Step 6: Final answer
    x = 2,145.26

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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.