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Finding the Fourth Proportional to 6,510.48, 9,774.36 and 3,590.16

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Solution

The fourth proportional to 6,510.48, 9,774.36 and 3,590.16 is: 5,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.48 : 9,774.36 = 3,590.16 : x
  2. Step 2: Convert to fraction form
    6,510.48/9,774.36 = 3,590.16/x
  3. Step 3: Cross multiply
    6,510.48x = 9,774.36 × 3,590.16
  4. Step 4: Simplify right side
    6,510.48x = 35,091,516.30
  5. Step 5: Solve for x
    x = 35,091,516.30/6,510.48
  6. Step 6: Final answer
    x = 5,390.00

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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.