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Finding the Fourth Proportional to 4,204.76, 6,307.72 and 1,430.70

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Solution

The fourth proportional to 4,204.76, 6,307.72 and 1,430.70 is: 2,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.76 : 6,307.72 = 1,430.70 : x
  2. Step 2: Convert to fraction form
    4,204.76/6,307.72 = 1,430.70/x
  3. Step 3: Cross multiply
    4,204.76x = 6,307.72 × 1,430.70
  4. Step 4: Simplify right side
    4,204.76x = 9,024,455.00
  5. Step 5: Solve for x
    x = 9,024,455.00/4,204.76
  6. Step 6: Final answer
    x = 2,146.25

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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.