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Finding the Fourth Proportional to 5,897.41, 8,846.42 and 5,602.16

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Solution

The fourth proportional to 5,897.41, 8,846.42 and 5,602.16 is: 8,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.41 : 8,846.42 = 5,602.16 : x
  2. Step 2: Convert to fraction form
    5,897.41/8,846.42 = 5,602.16/x
  3. Step 3: Cross multiply
    5,897.41x = 8,846.42 × 5,602.16
  4. Step 4: Simplify right side
    5,897.41x = 49,559,054.37
  5. Step 5: Solve for x
    x = 49,559,054.37/5,897.41
  6. Step 6: Final answer
    x = 8,403.53

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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.