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Finding the Fourth Proportional to 5,656.23, 7,803.72 and 3,417.25

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Solution

The fourth proportional to 5,656.23, 7,803.72 and 3,417.25 is: 4,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.23 : 7,803.72 = 3,417.25 : x
  2. Step 2: Convert to fraction form
    5,656.23/7,803.72 = 3,417.25/x
  3. Step 3: Cross multiply
    5,656.23x = 7,803.72 × 3,417.25
  4. Step 4: Simplify right side
    5,656.23x = 26,667,262.17
  5. Step 5: Solve for x
    x = 26,667,262.17/5,656.23
  6. Step 6: Final answer
    x = 4,714.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.