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Finding the Fourth Proportional to 4,307.09, 6,460.65 and 1,533.87

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Solution

The fourth proportional to 4,307.09, 6,460.65 and 1,533.87 is: 2,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.09 : 6,460.65 = 1,533.87 : x
  2. Step 2: Convert to fraction form
    4,307.09/6,460.65 = 1,533.87/x
  3. Step 3: Cross multiply
    4,307.09x = 6,460.65 × 1,533.87
  4. Step 4: Simplify right side
    4,307.09x = 9,909,768.75
  5. Step 5: Solve for x
    x = 9,909,768.75/4,307.09
  6. Step 6: Final answer
    x = 2,300.81

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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.