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Finding the Fourth Proportional to 4,307.56, 6,451.58 and 4,210.36

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Solution

The fourth proportional to 4,307.56, 6,451.58 and 4,210.36 is: 6,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.56 : 6,451.58 = 4,210.36 : x
  2. Step 2: Convert to fraction form
    4,307.56/6,451.58 = 4,210.36/x
  3. Step 3: Cross multiply
    4,307.56x = 6,451.58 × 4,210.36
  4. Step 4: Simplify right side
    4,307.56x = 27,163,474.37
  5. Step 5: Solve for x
    x = 27,163,474.37/4,307.56
  6. Step 6: Final answer
    x = 6,306.00

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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.